On the location of the minimum point in the Euclidean distance sum problem (Q723341)
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scientific article; zbMATH DE number 6911819
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the location of the minimum point in the Euclidean distance sum problem |
scientific article; zbMATH DE number 6911819 |
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On the location of the minimum point in the Euclidean distance sum problem (English)
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31 July 2018
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Necessary and sufficient conditions on the location of the minimum point in the Euclidean distance sum problem (i.e. the the problem of minimizing the sum of distances to \(n\) given points) are provided and proven by analytical methods that, as the authors assert, do not rely on previous contributions in this direction. Hints towards further developments are presented in the concluding section.
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generalized ellipse
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minimum point
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focal point
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distance function
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convex function
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Euclidean distance-sum problem
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